Answer to Question #26044 in Mechanics | Relativity for kanyfils

Question

The sun appears to move across the sky, because the earth spins on its axis. To a person standing on the earth, the sun subtends an angle of 9.28*0.001 rad. How much time (in seconds) does it take for the sun to move a distance equal to its own diameter?

Answer 1

Travelling a distance equal to its own diameter equals travelling the angle of 9.28*0.001 rad.
the angular velocity ofsun is equal to the angular velocity of Earth:
w = 2*pi/T
T - period = twenty-fourhours
pi = 3.14 rad
angle = w*t
t - time
Thefore:
t = angle/w
In our case, angle= 9.28*0.001 rad
t = 9.28*0.001 / (2*pi/24*3600sec ) = 9.28*0.001*24*3600/2/3.14 sec = 127.7 sec
Answer: t = 127.7sec